%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET691+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:39:58 EDT 2024
% Result : Theorem 0.39s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET691+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed May 8 18:43:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.39/0.56 % Version: 1.5
% 0.39/0.56 % SZS status Theorem
% 0.39/0.56 % SZS output start CNFRefutation
% 0.39/0.56 fof(equal_set,axiom,(![A]:(![B]:(equal_set(A,B)<=>(subset(A,B)&subset(B,A))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.39/0.56 fof(c83,plain,(![A]:(![B]:((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&((~subset(A,B)|~subset(B,A))|equal_set(A,B))))),inference(fof_nnf,[status(thm)],[equal_set])).
% 0.39/0.56 fof(c84,plain,((![A]:(![B]:(~equal_set(A,B)|(subset(A,B)&subset(B,A)))))&(![A]:(![B]:((~subset(A,B)|~subset(B,A))|equal_set(A,B))))),inference(shift_quantors,[status(thm)],[c83])).
% 0.39/0.56 fof(c86,plain,(![X48]:(![X49]:(![X50]:(![X51]:((~equal_set(X48,X49)|(subset(X48,X49)&subset(X49,X48)))&((~subset(X50,X51)|~subset(X51,X50))|equal_set(X50,X51))))))),inference(shift_quantors,[status(thm)],[fof(c85,plain,((![X48]:(![X49]:(~equal_set(X48,X49)|(subset(X48,X49)&subset(X49,X48)))))&(![X50]:(![X51]:((~subset(X50,X51)|~subset(X51,X50))|equal_set(X50,X51))))),inference(variable_rename,[status(thm)],[c84])).])).
% 0.39/0.56 fof(c87,plain,(![X48]:(![X49]:(![X50]:(![X51]:(((~equal_set(X48,X49)|subset(X48,X49))&(~equal_set(X48,X49)|subset(X49,X48)))&((~subset(X50,X51)|~subset(X51,X50))|equal_set(X50,X51))))))),inference(distribute,[status(thm)],[c86])).
% 0.39/0.56 cnf(c88,plain,~equal_set(X63,X64)|subset(X63,X64),inference(split_conjunct,[status(thm)],[c87])).
% 0.39/0.56 fof(thI16,conjecture,(![A]:(subset(A,empty_set)<=>equal_set(A,empty_set))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI16)).
% 0.39/0.56 fof(c11,negated_conjecture,(~(![A]:(subset(A,empty_set)<=>equal_set(A,empty_set)))),inference(assume_negation,[status(cth)],[thI16])).
% 0.39/0.56 fof(c12,negated_conjecture,(?[A]:((~subset(A,empty_set)|~equal_set(A,empty_set))&(subset(A,empty_set)|equal_set(A,empty_set)))),inference(fof_nnf,[status(thm)],[c11])).
% 0.39/0.56 fof(c13,negated_conjecture,(?[X2]:((~subset(X2,empty_set)|~equal_set(X2,empty_set))&(subset(X2,empty_set)|equal_set(X2,empty_set)))),inference(variable_rename,[status(thm)],[c12])).
% 0.39/0.56 fof(c14,negated_conjecture,((~subset(skolem0001,empty_set)|~equal_set(skolem0001,empty_set))&(subset(skolem0001,empty_set)|equal_set(skolem0001,empty_set))),inference(skolemize,[status(esa)],[c13])).
% 0.39/0.56 cnf(c16,negated_conjecture,subset(skolem0001,empty_set)|equal_set(skolem0001,empty_set),inference(split_conjunct,[status(thm)],[c14])).
% 0.39/0.56 cnf(c167,plain,subset(skolem0001,empty_set),inference(resolution,[status(thm)],[c16, c88])).
% 0.39/0.56 cnf(c15,negated_conjecture,~subset(skolem0001,empty_set)|~equal_set(skolem0001,empty_set),inference(split_conjunct,[status(thm)],[c14])).
% 0.39/0.56 fof(empty_set,axiom,(![X]:(~member(X,empty_set))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.39/0.56 fof(c58,plain,(![X]:~member(X,empty_set)),inference(fof_simplification,[status(thm)],[empty_set])).
% 0.39/0.56 fof(c59,plain,(![X31]:~member(X31,empty_set)),inference(variable_rename,[status(thm)],[c58])).
% 0.39/0.56 cnf(c60,plain,~member(X59,empty_set),inference(split_conjunct,[status(thm)],[c59])).
% 0.39/0.56 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.39/0.56 fof(c91,plain,(![A]:(![B]:((~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))&((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(fof_nnf,[status(thm)],[subset])).
% 0.39/0.56 fof(c92,plain,((![A]:(![B]:(~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))))&(![A]:(![B]:((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(shift_quantors,[status(thm)],[c91])).
% 0.39/0.56 fof(c93,plain,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((?[X57]:(member(X57,X55)&~member(X57,X56)))|subset(X55,X56))))),inference(variable_rename,[status(thm)],[c92])).
% 0.39/0.56 fof(c95,plain,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56)))))))),inference(shift_quantors,[status(thm)],[fof(c94,plain,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56))))),inference(skolemize,[status(esa)],[c93])).])).
% 0.39/0.56 fof(c96,plain,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)|subset(X55,X56))&(~member(skolem0004(X55,X56),X56)|subset(X55,X56))))))))),inference(distribute,[status(thm)],[c95])).
% 0.39/0.56 cnf(c98,plain,member(skolem0004(X145,X146),X145)|subset(X145,X146),inference(split_conjunct,[status(thm)],[c96])).
% 0.39/0.56 cnf(c137,plain,subset(empty_set,X147),inference(resolution,[status(thm)],[c98, c60])).
% 0.39/0.56 cnf(c90,plain,~subset(X179,X180)|~subset(X180,X179)|equal_set(X179,X180),inference(split_conjunct,[status(thm)],[c87])).
% 0.39/0.56 cnf(c183,plain,~subset(X194,empty_set)|equal_set(X194,empty_set),inference(resolution,[status(thm)],[c90, c137])).
% 0.39/0.56 cnf(c211,plain,equal_set(skolem0001,empty_set),inference(resolution,[status(thm)],[c183, c167])).
% 0.39/0.56 cnf(c214,plain,~subset(skolem0001,empty_set),inference(resolution,[status(thm)],[c211, c15])).
% 0.39/0.56 cnf(c219,plain,$false,inference(resolution,[status(thm)],[c214, c167])).
% 0.39/0.56 % SZS output end CNFRefutation
% 0.39/0.56
% 0.39/0.56 % Initial clauses : 45
% 0.39/0.56 % Processed clauses : 61
% 0.39/0.56 % Factors computed : 6
% 0.39/0.56 % Resolvents computed: 115
% 0.39/0.56 % Tautologies deleted: 2
% 0.39/0.56 % Forward subsumed : 15
% 0.39/0.56 % Backward subsumed : 3
% 0.39/0.56 % -------- CPU Time ---------
% 0.39/0.56 % User time : 0.213 s
% 0.39/0.56 % System time : 0.014 s
% 0.39/0.56 % Total time : 0.227 s
%------------------------------------------------------------------------------